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Determining if a function is even, odd or neither (KristaKingMath)
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- Опубликовано: 16 июл 2012
- ► My Precalculus course: www.kristaking...
Learn how to determine whether a function is an even function, an odd function, or neither an even nor odd function. We'll substitute -x for x, simplify, and then see whether our result is equal to our original function, and even, equal to our original function times -1, and odd, or neither.
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If you could use some extra help with your math class, then check out Krista’s website // www.kristakingm...
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Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)
Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”
So I started tutoring to keep other people out of the same aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student-from basic middle school classes to advanced college calculus-figure out what’s going on, understand the important concepts, and pass their classes, once and for all. Interested in getting help? Learn more here: www.kristakingm...
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This 4 minute lesson literally just covered what we were going to do tomorrow for pre-calc in one hour. Lessons like these are quick and understandable, which is a must if you want to get ahead on homework (especially if you have marching band and don't come home until 9 or later).Thank you!
+LittleVampers That's so awesome that you're prepping ahead of time! Glad it could help!
LittleVampers 😂😂💆This chick is my girl!! Thanks for the video, you have a gift. Mine spent 1/2 hr drawing/writing a lot of stuff/muttering to himself/erasing stuff. Finally I can finish my homework!! Will have refer back to my notes to see why this fool turned this 4 min explanation into a War and Peace tome. Thank god I found you on my second day of class.
YES! Second day of class.... that's awesome! No epic math sagas here, just keepin in simple. :) Can't wait to help with the rest of the semester! :)
THIS IS PRECALC??? We’re doing this in algebra 2 right now
Annie Bee I feel ya Marching Band is sacrifice one must make
slept in class for 45 min, woke up confuse. watched a 4:22 min video......magic
LOL got the same feeling
lmao except my teacher literally didnt teach
School in a nutshell
Because of you videos I finally understand things that I can't pick up from my professor who I take class with 3 hours a night Mon-Thurs.Every time I learn something new from your videos I don't know whether to cry or laugh or scream or what...so many emotions run through me all at once..God bless you dear child..God bless you..
lol...I'm so glad I can help! :D
Thanks! Yes, I'm hoping to add Fourier Series. I know there's not a ton of material out there right now. I'll try to get some up as soon as I can! :)
Not going to lie, your videos are more helpful then my college professor... lol Thanks!!!
LOL, well I'm just glad they're helping!!
What's amazing is the fact that she does not have a math degree.
What’s fucked is I gotta do this in junior year of high school, Literally on the 2nd week of school
Hi. It would be helpful if you could show graphs of an odd, even, and neither function. Thanks.
Dmitriy Melnikov me rn
You taught me in minutes what my teacher could not teach me in hours. You're awesome
Aw thanks! I'm so glad I could help!
i'm glad you liked it! :) i have some functions stuff at the beginning of my calc 1 playlist, but i don't have much yet on imaginary numbers.
Wow this 4 minute video helped me way more than what I learned in class!!
+DOGE™ Nice!
DOGE™ Lmao I love your profile pic, it's always hilarious when dogs give you that silly glare out of the corner of their eye 😂😂😂
I have a Calculus test tmr and this video saved my life. Thank you!
Thank you very much for this thorough explanation! I haven't seen anyone else make it more clear and you did a great job at helping me figure this out. Keep up the great work! :)
Thank you! :D
Really can't find better content than this .... you're great ma'am 😀...you are not getting better with time ...you started as better and now you're best😀🎉🎉🎉🎉🎉🎉
Thank you so much, vaibhav! I really appreciate that! 😀
Great explanation. The key, as you so capably presented, is to multiply the function by -1. If you return to the original function, it is even. If you return to the original function except with a -1 factored out, it is an odd and if neither of these two results occur, it's just that. Thank you very much.
I'm so glad the videos are helping! Good luck with calculus this year! :D
❤️❤️❤️❤️Love From India❤️❤️❤️
Your way better than my math teacher for sure
That's cuz your teacher does not teach post secondary. The professors there know topology, optimization, algebraic geometry, representation theory, etc.
I can't believe how easy this was. Thank you so much for making this video.
You're welcome, I'm so glad it helped!
This is exactly what I needed for my test tomorrow!!! Thank you so much!
Good luck! I hope you crush your test! :D
Please become my teacher, you were able to simplify what my college professor taught in a 2 hour lecture! Thank you so much!
You're welcome, I'm so glad it helped!
This is SO much easier to understand than listening to a Ukrainian professor who doesn't understand your questions half the time.
Pardon wu-at is it ze gu-es-chin? No un-zere-stand so-lee.
Just mocking and faking an European accent here.
The world deserves more teacher like you! Great job and thank you!
Awww, thank you so much, I'm honored!! :D
Please excuse my bad spelling in that last comment, I typed fast because I was so happy to finally understand that concept! Then again you're a math teacher so you wouldn't mind haha. Anyway, you couldn't have made it any clearer, again thank you so much!
You never fail to explain things in the clearest way possible, thank you! This channel has helped me so much :)
I'm honored! And I'm so glad it's helped! :)
THANKS SO MUCH YOU EXPLAINED BETTER IN 2 MINS THAN MY TEACHER COULD IN 1 HOUR
I'm glad I could help!
omg you're amazing. I'm gonna ace this final now! my professor made it look so difficult but this is so easy! thank you so so much!! :)
Wow, that's so nice of you to say! Glad you liked it! :D
this is the second video to watch on your channel, your style of teaching is concise and amazing 😃
Thank you so much. I am taking a pre-calculus class and the way the book explained this was overly complicated and I didn't understand. You are a god send!
So glad it could help Jennifer! 😀
Thanks, that was crystal clear and straight to the point ^^
Thanks!
You helped me past my final. Thankx
jayveous mckinnis I'm so glad it helped, and congrats on your final!!
the last one comes out to be and odd function, f(-x)= -2x- (-x)^2= -2x+x^2. then when you factor out a (-) it gives you - (2x-x^2) which is your original function.
I find it joyful watching your videos
hi I'm learning calculus, and my question is why do we care that a function is even, odd, or neither?
+l la it could be useful while integrating. also for Fourier transformation. google it up to know more ;)
you are 3 in 1:
intelligent , funny & pretty
that's why we love you.
if i pass my calc1 class , gonna give u special gift
You were in Calc 1 yet had trouble with some concept that should be clear no later than grade 11?
From the second she said hi everyone, I really wanted to learn! What a lovely and intelligent lady! :)
I just started first year calculus at university and your videos are helping me through a lot of the things i didn't understand in the lectures, so I just wanted to say thanks alot.
ur the best teacher in the world
In lower division I agree. When upper division (3rd year or higher) math arises I'm your goto guy.
Such a helpful video thanx!!! My teacher could never explain it in the way that you did! >.
+ShadowRaven BK You're welcome, I'm happy to help!
This is amazing! I love my professor, but she taught this a different way I could not quite comprehend for whatever reason! You just saved me for my test Thursday!!!!
I'm so glad it was helpful, Brenna! I hope your test went great! :D
Thank you! Your online math courses are the best!
keep replaying the first second of the video without laughing hahahaha "(high pitch) Hi everyone!!"
fail troll is fail
My teacher should not be qualified to teach haha this was so much better explained
same thing... you'd plug -x in for x and then simplify. |-x| will always be positive in the same way that |x| will always be positive, so they'll end up being the same. which means that in the case of your example, you'll end up with an even function. hope that helps! :)
Very clear and methodical, and the writing is calligraphic: bravo!
Thank you very much!
Thanks! this helped so much!
i am crying thank u for saving me
after hours of reading the book and watching videos with indian accents, i found this!
simple and fast! thank you!
+Laith Shamlawi Glad you liked it!
I wish I have found this videos when I was in college and not after.. I finally understood how to prove if it is even or odd.. Thank you so much..
Luz Batista You're welcome, I'm so glad it finally makes sense!
Luz Batista wait then what are you doing here X,D
why (-x)^5 stay -x^5 but (-x)^4 changed to x^4
because every two negative signs cancel and become positive. with (-x)^4, you have four negative signs, so two cancel, then the other two cancel. but with (-x)^5, you have five negative signs, so you can get two to cancel, then two more, but you've got one negative sign left over, so the answer is negative.
Thank you that information hleped me a lot
thank you you majestic wonder of the world
because (-x)^4 must be calculated before you distribute the negative sign. (-x)^4 is x^4. only then can you apply the negative sign outside the parentheses, and you end up with 1-x^4. hope that helps! :D
everyone here is in calculus, but i have to do this for an algebra class i had to do on top of my current math class. the textbook i'm using is just dead weight, so thank you for this more in-depth explanation.
No problem, Jayda, I'm so glad it helped! :)
your awesome thanks! i guess im gonna pass my pre-calculus final
I hope you rock it! :)
explains better than my teacher!
thank you so much!
C:
This video is short and straight to the point! Clarified everything for me... Thanks so much!
+Mat The Filmer Awesome! Thanks for the feedback!
I'm going to go ahead and just say what everyone here is thinking. I wish you were my professor! You explained it so well that in a matter of 4 minutes I understood how to now solve these problems. I thank you, thank you, thank you!
+Michael Nunez You're so welcome! I'm glad I can help!
doesn't a negative times a negative equal a positive??
+Viviana Rosales Yes, but a negative to any odd power makes a negative. it's just like -5 (-4) -1 = -20. The same applies to x... -x/\3 = (-x)-x(-x) = -x/\3
If the power is odd its gonna stay negative
help please... i cant see any odd power?
You can be a partner with Khan academy !!
That would definitely be cool! :)
Can't believe how easy this was, my teacher makes pre-cal seems a lot harder. Thanks for your help!
It's really not hard. Even easier than riding a bicycle.
Awesome! so simple, yet my professor never explained to us how to do this and assigned us problems that require us to do this so i was kind of lost. Thanks!
I'm so glad it helped!!
Pretty and Smart. A rare combo in girls these days.
um cant really concentrate over how pretty she is.
Wow! my college professor was not able to do that, or the math lab and in 4 min I learned from you. Thank you soooooo much.
you're welcome! i'm so glad it helped!
My instructor is absolutely horrid when it comes to teaching. Thank God for you, your videos are amazing!
Aw thanks! I'm glad they're helping!
your voice scared me at the very beginning
+Stephen Price I like playing the first 2 seconds of this video over and over. Makes me laugh every time.
kmsl ikr i do too
+Stephen Price what is kmsl?
malik zain killing myself laughing
+Stephen Price thanks
anyone come for the teacher and not the lesson?
**disappointment in humanity increases**
and then the ask "why the F"
just human nature bro
LOL
I think you meant to say something more along the lines of... "Anyone come for the lesson but stay for the teacher?"
you're very helpful, and I'm happy to see you still reply back to people even on your old videos! You are awesome.
:D
Wow, i finally understand this! You're much better at explaining than my teacher, who just assumes that we understand it! Thank you!
i think that homework problem was telling you that you couldn't use your calculator to graph the function, because you can tell if it's even/odd/neither just by looking at the graph. i think they were trying to get you to do it like i did in this video, where you actually prove algebraically that it's even/odd/neither. :) so glad it helped!! :D
Great Job! Keep it up! You made a simple process look simple, unlike many explanations which over complicate math often!
Thank you very much!
Probably one of the best math help videos I've ever used!
Thank you. You explained it much better than my professor and with a much easier explanation. It is so simple they way you explained it!
even functions are symmetrical about the y-axis, like y=x^2. odd functions are symmetrical about the origin, like y=x^3. if you're looking at a picture of a function that is not symmetrical about the y-axis or the origin, than you know that the function is neither even nor odd. :)
I was trying to figure this out for days and you made it seen so incredibly easy. Thanks so much for this video,you explain everything very clearly.
I'm so glad it helped and that's it's more clear now! :D
I'm at least happy I can help on RUclips! :)
Cramming for my Midterm right now. Helped a lot thanks!
I'm so glad it helped!! Good luck on your midterm!
Very good explanation of even, odd, and neither functions!
Thanks for your help.
eGliderman You're welcome!
I'm the only junior in my honors calculus class and you help me so much explaining it in details. Thank you so much :)
+Jenifer Chowdhury You're welcome, I'm glad it helped! And good for you, I hope you're doing great in your class!
This one video has been more helpful then a week of teaching from my math teacher
You're a better teacher in 30 seconds than my math teacher in one month.
+Mareas Océano I'm happy to help!
You're welcome!! :) Hope they help!
Thank you Krista ! Clear and very helpful.
You're welcome, Armando! I'm so glad it helped! :D
Great question! Even functions are symmetric about the y-axis, whereas odd functions are symmetric about the origin. If the function is neither even nor odd, then it won't reflect either of these kinds of symmetry. Hope that makes sense! :)
This small video taught me more than a 35 min lecture... Ty
excellent video! i was confused for so many hours, and you solved my problems in 4 minutes :)
Oh, wow. Another RUclips tutor that challenges the credibility of my college professor. Gotta love it!
finally!!! someone that knows how to show and solve a problem!!!!
Technically to test the "neither" case you should provide a counterexample by plugging in a specific value of x.
Stellar video that explained the concept to me in a matter minutes, turning a once difficult topic into an easily understood one.
Elias Taveras Awesome!
Excellent explanation! Thank you very much. In a couple minutes you made understood what my professor doesn't in a whole class.
A very simple and straightforward explanation. Thank you!
you're welcome! :)
it seems like everything before video 30 in the playlist was pre calc for me but I dont remember ever going over this so here I am. These videos are a god send though. passing calculus here i come
You're going to do great! :D
hi krista its good to learn from you explained it in an perfect manner as wanted tnkss a lot
OMG THANKYOU SO MUCH😀😀 . I started pre-calculus and my teacher just started school the second day but giving us work to what we didn't know.
You are so welcome! I'm glad I can help along the way. :)
thank you for this! I have a math test tomorrow for my pre calc class and I'm only in high school but my teacher already is terrible. Thank you so much!
This was so clear, was confusing in my calc lab but this saved me for my quiz tomorrow. Subbed!
I'm taking an online pre-cal course. That means there is very little student/ teacher interaction. Your video has helped a lot. Thank you.
bro, I was so confused and this just helped tremendously!
Very fast and super easy to understand. Thank you for the help!
Actually this is the best explain I saw in my life , thank u continues
Oops! Where was this when I took my quiz, I have a College Algebra final tomorrow. I'm coming back to this video before I go to bed tonight. Thanks!
Daniel Gurule You're welcome, and good luck on your final tomorrow, I hope it goes great!!
thank you so much this saved me !! i spent two hours trying to understand it on my own and your video cleared it up for me in four minutes !!
Oh good! I'm so glad this helped clarify everything! :)
It can even be more simple : if you have only Even powers in your equation , the equation is even ( like your second example ) , if you have only odd powers , the equation is odd ( like your first example ) , and when you have a combination of even and odd powers , it is neither .. Btw a constant has an odd power ( 0 )
I'm so glad it finally makes sense!! :D